{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.special import hankel1,jn\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "import cmath\n",
    "pi=math.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "k=20 #波数\n",
    "N=20 #一个波长内的网格数:5,10,15,20\n",
    "M=int(k*N*0.05) #单元网格数\n",
    "seta=np.linspace(0,2*pi-2*pi/61,61)#观察点的角度\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.47123889803846897\n"
     ]
    }
   ],
   "source": [
    "#坐标转换\n",
    "def switch(r,seta,k):#k为坐标个数\n",
    "    x_zb=np.zeros(k)\n",
    "    y_zb=np.zeros(k)\n",
    "    for i in range(k):\n",
    "        zuobiao=cmath.rect(r,seta[i])\n",
    "        x_zb[i]=zuobiao.real\n",
    "        y_zb[i]=zuobiao.imag\n",
    "    return x_zb,y_zb\n",
    "#单元网格化\n",
    "def net(k):\n",
    "    seta=np.linspace(0,2*pi,k+1) \n",
    "    jd_s=seta\n",
    "    zx_s=np.zeros(k)\n",
    "    for i in range(k):\n",
    "        zx_s[i]=(seta[i]+seta[i+1])/2  \n",
    "    xl=np.zeros((k,2))\n",
    "    for i in range(k):\n",
    "        xl[i,0]=math.cos(zx_s[i])\n",
    "        xl[i,1]=math.sin(zx_s[i])\n",
    "    return jd_s,zx_s,xl\n",
    "a,b,c=net(M)#a为节点、b为中心、c为单位法向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.gca(projection='polar')\n",
    "for i in range(M):\n",
    "    plt.scatter(b[i],12.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.01179587 -0.01075915 -0.00771588 -0.0019484   0.00531186  0.01090268\n",
      "  0.01239606  0.01031399  0.00714633  0.00507438  0.00507438  0.00714633\n",
      "  0.01031399  0.01239606  0.01090268  0.00531186 -0.0019484  -0.00771588\n",
      " -0.01075915 -0.01179587]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-157-996186bfbdfa>:8: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  g0[i]=g0[i]+0.25j*(math.cos(n*b[i]))*hankel1(n,k*r_x)*jn(n,k*r_y)\n"
     ]
    }
   ],
   "source": [
    "#自由空间格林函数\n",
    "def G0(m,k,r_x=12.8):#选择带入点弧度o\n",
    "    r_y=0.1\n",
    "    a,b,c=net(M)#a为节点、b为中心点、c为单位法向量\n",
    "    g0=np.zeros(m)\n",
    "    for i in range(m):        \n",
    "        for n in range(-20,20):\n",
    "            g0[i]=g0[i]+0.25j*(math.cos(n*b[i]))*hankel1(n,k*r_x)*jn(n,k*r_y)\n",
    "    return g0         \n",
    "S=G0(M,k) #G0（Zm,y） \n",
    "print(S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.00915764 -0.00837212 -0.00586143 -0.00094256  0.00515259  0.00932827\n",
      "  0.00930024  0.00579313  0.00151661 -0.00116265 -0.00116265  0.00151661\n",
      "  0.00579313  0.00930024  0.00932827  0.00515259 -0.00094256 -0.00586143\n",
      " -0.00837212 -0.00915764]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-158-255ca44c1137>:8: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  g0[i]=g0[i]+0.25j*arf*math.cos(n*b[i])*hankel1(n,k*r_x)*jn(n,k*r_y)\n"
     ]
    }
   ],
   "source": [
    "def Gs(m,k,r_x=12.8):#选择带入点弧度o\n",
    "    r_y=0.1\n",
    "    a,b,c=net(M)#a为节点、b为中心点、c为单位法向量\n",
    "    g0=np.zeros(m)\n",
    "    for i in range(m):        \n",
    "        for n in range(-20,20):\n",
    "            arf=-(jn(n-1,k*0.05)-jn(n+1,k*0.05))/(hankel1(n-1,k*0.05)-hankel1(n+1,k*0.05))\n",
    "            g0[i]=g0[i]+0.25j*arf*math.cos(n*b[i])*hankel1(n,k*r_x)*jn(n,k*r_y)\n",
    "    return g0\n",
    "T=Gs(M,k)\n",
    "Ga=np.zeros(M)\n",
    "for i in range(M):\n",
    "    Ga[i]=S[i]+T[i]\n",
    "print(Ga)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.gca(projection='polar')\n",
    "plt.plot(b,Ga,c='y',marker='s')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.5         0.01142132 -0.17882522  0.15263464 -0.12274307  0.23484691\n",
      "  -0.05627756 -0.33102405  0.24895865  0.04505777 -0.59042103  0.04505777\n",
      "   0.24895865 -0.33102405 -0.05627756  0.23484691 -0.12274307  0.15263464\n",
      "  -0.17882522  0.01142132]\n",
      " [ 0.01142132  0.5         0.01142132 -0.17882522  0.15263464 -0.12274307\n",
      "   0.23484691 -0.05627756 -0.33102405  0.24895865  0.04505777 -0.59042103\n",
      "   0.04505777  0.24895865 -0.33102405 -0.05627756  0.23484691 -0.12274307\n",
      "   0.15263464 -0.17882522]\n",
      " [-0.17882522  0.01142132  0.5         0.01142132 -0.17882522  0.15263464\n",
      "  -0.12274307  0.23484691 -0.05627756 -0.33102405  0.24895865  0.04505777\n",
      "  -0.59042103  0.04505777  0.24895865 -0.33102405 -0.05627756  0.23484691\n",
      "  -0.12274307  0.15263464]\n",
      " [ 0.15263464 -0.17882522  0.01142132  0.5         0.01142132 -0.17882522\n",
      "   0.15263464 -0.12274307  0.23484691 -0.05627756 -0.33102405  0.24895865\n",
      "   0.04505777 -0.59042103  0.04505777  0.24895865 -0.33102405 -0.05627756\n",
      "   0.23484691 -0.12274307]\n",
      " [-0.12274307  0.15263464 -0.17882522  0.01142132  0.5         0.01142132\n",
      "  -0.17882522  0.15263464 -0.12274307  0.23484691 -0.05627756 -0.33102405\n",
      "   0.24895865  0.04505777 -0.59042103  0.04505777  0.24895865 -0.33102405\n",
      "  -0.05627756  0.23484691]\n",
      " [ 0.23484691 -0.12274307  0.15263464 -0.17882522  0.01142132  0.5\n",
      "   0.01142132 -0.17882522  0.15263464 -0.12274307  0.23484691 -0.05627756\n",
      "  -0.33102405  0.24895865  0.04505777 -0.59042103  0.04505777  0.24895865\n",
      "  -0.33102405 -0.05627756]\n",
      " [-0.05627756  0.23484691 -0.12274307  0.15263464 -0.17882522  0.01142132\n",
      "   0.5         0.01142132 -0.17882522  0.15263464 -0.12274307  0.23484691\n",
      "  -0.05627756 -0.33102405  0.24895865  0.04505777 -0.59042103  0.04505777\n",
      "   0.24895865 -0.33102405]\n",
      " [-0.33102405 -0.05627756  0.23484691 -0.12274307  0.15263464 -0.17882522\n",
      "   0.01142132  0.5         0.01142132 -0.17882522  0.15263464 -0.12274307\n",
      "   0.23484691 -0.05627756 -0.33102405  0.24895865  0.04505777 -0.59042103\n",
      "   0.04505777  0.24895865]\n",
      " [ 0.24895865 -0.33102405 -0.05627756  0.23484691 -0.12274307  0.15263464\n",
      "  -0.17882522  0.01142132  0.5         0.01142132 -0.17882522  0.15263464\n",
      "  -0.12274307  0.23484691 -0.05627756 -0.33102405  0.24895865  0.04505777\n",
      "  -0.59042103  0.04505777]\n",
      " [ 0.04505777  0.24895865 -0.33102405 -0.05627756  0.23484691 -0.12274307\n",
      "   0.15263464 -0.17882522  0.01142132  0.5         0.01142132 -0.17882522\n",
      "   0.15263464 -0.12274307  0.23484691 -0.05627756 -0.33102405  0.24895865\n",
      "   0.04505777 -0.59042103]\n",
      " [-0.59042103  0.04505777  0.24895865 -0.33102405 -0.05627756  0.23484691\n",
      "  -0.12274307  0.15263464 -0.17882522  0.01142132  0.5         0.01142132\n",
      "  -0.17882522  0.15263464 -0.12274307  0.23484691 -0.05627756 -0.33102405\n",
      "   0.24895865  0.04505777]\n",
      " [ 0.04505777 -0.59042103  0.04505777  0.24895865 -0.33102405 -0.05627756\n",
      "   0.23484691 -0.12274307  0.15263464 -0.17882522  0.01142132  0.5\n",
      "   0.01142132 -0.17882522  0.15263464 -0.12274307  0.23484691 -0.05627756\n",
      "  -0.33102405  0.24895865]\n",
      " [ 0.24895865  0.04505777 -0.59042103  0.04505777  0.24895865 -0.33102405\n",
      "  -0.05627756  0.23484691 -0.12274307  0.15263464 -0.17882522  0.01142132\n",
      "   0.5         0.01142132 -0.17882522  0.15263464 -0.12274307  0.23484691\n",
      "  -0.05627756 -0.33102405]\n",
      " [-0.33102405  0.24895865  0.04505777 -0.59042103  0.04505777  0.24895865\n",
      "  -0.33102405 -0.05627756  0.23484691 -0.12274307  0.15263464 -0.17882522\n",
      "   0.01142132  0.5         0.01142132 -0.17882522  0.15263464 -0.12274307\n",
      "   0.23484691 -0.05627756]\n",
      " [-0.05627756 -0.33102405  0.24895865  0.04505777 -0.59042103  0.04505777\n",
      "   0.24895865 -0.33102405 -0.05627756  0.23484691 -0.12274307  0.15263464\n",
      "  -0.17882522  0.01142132  0.5         0.01142132 -0.17882522  0.15263464\n",
      "  -0.12274307  0.23484691]\n",
      " [ 0.23484691 -0.05627756 -0.33102405  0.24895865  0.04505777 -0.59042103\n",
      "   0.04505777  0.24895865 -0.33102405 -0.05627756  0.23484691 -0.12274307\n",
      "   0.15263464 -0.17882522  0.01142132  0.5         0.01142132 -0.17882522\n",
      "   0.15263464 -0.12274307]\n",
      " [-0.12274307  0.23484691 -0.05627756 -0.33102405  0.24895865  0.04505777\n",
      "  -0.59042103  0.04505777  0.24895865 -0.33102405 -0.05627756  0.23484691\n",
      "  -0.12274307  0.15263464 -0.17882522  0.01142132  0.5         0.01142132\n",
      "  -0.17882522  0.15263464]\n",
      " [ 0.15263464 -0.12274307  0.23484691 -0.05627756 -0.33102405  0.24895865\n",
      "   0.04505777 -0.59042103  0.04505777  0.24895865 -0.33102405 -0.05627756\n",
      "   0.23484691 -0.12274307  0.15263464 -0.17882522  0.01142132  0.5\n",
      "   0.01142132 -0.17882522]\n",
      " [-0.17882522  0.15263464 -0.12274307  0.23484691 -0.05627756 -0.33102405\n",
      "   0.24895865  0.04505777 -0.59042103  0.04505777  0.24895865 -0.33102405\n",
      "  -0.05627756  0.23484691 -0.12274307  0.15263464 -0.17882522  0.01142132\n",
      "   0.5         0.01142132]\n",
      " [ 0.01142132 -0.17882522  0.15263464 -0.12274307  0.23484691 -0.05627756\n",
      "  -0.33102405  0.24895865  0.04505777 -0.59042103  0.04505777  0.24895865\n",
      "  -0.33102405 -0.05627756  0.23484691 -0.12274307  0.15263464 -0.17882522\n",
      "   0.01142132  0.5       ]]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-141-96a9746871b0>:25: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  A[m][n]=A[m][n]-Ak[i]*0.25j*k*hankel1(1,k*P[i])*(R[i][0]*c[n][0]+R[i][1]*c[n][1])*(0.5*math.sqrt((x_j[n+1]-x_j[n])**2+(y_j[n+1]-y_j[n])**2))/P[i]\n"
     ]
    }
   ],
   "source": [
    "#四点高斯积分、计算A矩阵\n",
    "def jifen(M):\n",
    "    r=12.8\n",
    "    a,b,c=net(M)\n",
    "    T=[-0.8611363,0.8611363,-0.3399810,0.3399810]\n",
    "    Ak=[0.3478549,0.3478549,0.6521452,0.6521452]\n",
    "    A=np.zeros((M,M))\n",
    "    X=np.zeros(4)#Xi\n",
    "    Y=np.zeros(4)#Yi\n",
    "    R=np.zeros((4,2))#节点到中心点的向量\n",
    "    P=np.zeros(4)#向量的模\n",
    "    x_j,y_j=switch(r,a,M+1)#节点坐标\n",
    "    x_z,y_z=switch(r,b,M)#中心点坐标  \n",
    "    for m in range(M):\n",
    "        for n in range(M):\n",
    "            if m==n:\n",
    "                A[m][n]=0.5\n",
    "            else:\n",
    "                for i in range(4):\n",
    "                    X[i]=x_j[n]+(x_j[n+1]-x_j[n])*(T[i]+1)/2\n",
    "                    Y[i]=y_j[n]+(y_j[n+1]-y_j[n])*(T[i]+1)/2\n",
    "                    R[i][0]=X[i]-x_z[m]\n",
    "                    R[i][1]=Y[i]-y_z[m]\n",
    "                    P[i]=math.sqrt(R[i][0]**2+R[i][1]**2)\n",
    "                    A[m][n]=A[m][n]-Ak[i]*0.25j*k*hankel1(1,k*P[i])*(R[i][0]*c[n][0]+R[i][1]*c[n][1])*(0.5*math.sqrt((x_j[n+1]-x_j[n])**2+(y_j[n+1]-y_j[n])**2))/P[i]\n",
    "    return A\n",
    "A=jifen(M)\n",
    "print(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.1946047   0.10527871 -0.03610686 -0.17233778 -0.25066003 -0.2425346\n",
      " -0.15199367 -0.01235333  0.12555584  0.21064576  0.21064576  0.12555584\n",
      " -0.01235333 -0.15199367 -0.2425346  -0.25066003 -0.17233778 -0.03610686\n",
      "  0.10527871  0.1946047 ]\n"
     ]
    }
   ],
   "source": [
    "#解线性方程组\n",
    "G=np.linalg.solve(A,S)\n",
    "print(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.gca(projection='polar')\n",
    "plt.plot(b,G,c='y',marker='s')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.cos(pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
